A Study of Segregation in Granular Gravity Driven Free Surface Flows.

Thornton, Anthony (2005) A Study of Segregation in Granular Gravity Driven Free Surface Flows. Doctoral thesis, The University of Manchester.

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Segregation occurs in many natural and industrial free surface flows, and its study and understanding is of fundamental importance in many fields. The thesis formulates a new continuum model for this process in bi-dispersed equal density granular material. Numerous analytical solutions of this model are obtained and are shown to be in good qualitative agreement with existing experimental data. Then an accurate high order Total Variation Diminishing numerical scheme is developed to investigate time dependent flows and more complicated configurations. Additionally, the model is extended to include the effect of a passive non-viscous fluid occupying the pore space between the grains. The results of this extended model are in quantitative agreement with existing experiment data. A brief investigation of experiments to test further the predictions of this model was also undertaken. This included a study of the feed-back that segregation can have on the bulk properties of a flowing granular material, which highlights how this model could be used to investigate the important phenomenon of granular fingering in the future.

Item Type: Thesis (Doctoral)
Additional Information: Dr. Thornton worked with Prof. Nico Gray.
Uncontrolled Keywords: Granular materials, shock waves, segregation, mixture theory, kinetic sieving
Subjects: MSC 2010, the AMS's Mathematics Subject Classification > 70 Mechanics of particles and systems
MSC 2010, the AMS's Mathematics Subject Classification > 86 Geophysics
Depositing User: Dr Anthony Thornton
Date Deposited: 10 Aug 2007
Last Modified: 20 Oct 2017 14:12
URI: http://eprints.maths.manchester.ac.uk/id/eprint/831

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